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Finding the Fourth Proportional to 2,500.17, 3,447.63 and 1,744.80

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Solution

The fourth proportional to 2,500.17, 3,447.63 and 1,744.80 is: 2,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.17 : 3,447.63 = 1,744.80 : x
  2. Step 2: Convert to fraction form
    2,500.17/3,447.63 = 1,744.80/x
  3. Step 3: Cross multiply
    2,500.17x = 3,447.63 × 1,744.80
  4. Step 4: Simplify right side
    2,500.17x = 6,015,424.82
  5. Step 5: Solve for x
    x = 6,015,424.82/2,500.17
  6. Step 6: Final answer
    x = 2,406.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.